421746336400 has 135 divisors (see below), whose sum is σ = 1070007163131. Its totient is φ = 159726147840.

The previous prime is 421746336379. The next prime is 421746336439. The reversal of 421746336400 is 4633647124.

It is a happy number.

The square root of 421746336400 is 649420.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 89527820944 + 332218515456 = 299212^2 + 576384^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 246778746 + ... + 246780454.

Almost surely, 2^421746336400 is an apocalyptic number.

421746336400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

421746336400 is the 649420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421746336400

421746336400 is an abundant number, since it is smaller than the sum of its proper divisors (648260826731).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

421746336400 is an equidigital number, since it uses as much as digits as its factorization.

421746336400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3474 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 40.

The spelling of 421746336400 in words is "four hundred twenty-one billion, seven hundred forty-six million, three hundred thirty-six thousand, four hundred".